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tatiyna
3 years ago
13

Solve the equation

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0

Answer:

y = -13

Step-by-step explanation:

5y + 2(y - 2) = 8y - 3(7 - 10)

5y + 2y - 4 = 8y - 21 + 30

7y - 4 = 8y + 9

-4 = y + 9

-13 = y

y = -13

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Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 1
dimaraw [331]

The recursive formula for the arithmetic sequence is given as follows:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1)d

In which a_1 is the first term.

The recursive formula for the sequence is given by:

a_n = a_{n-1} + d

In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:

a_1 = 8, r = 13

Hence, the recursive sequence is given by:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

More can be learned about arithmetic sequences at brainly.com/question/6561461

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3 0
2 years ago
The table shows the beverage preferences of 50 shoppers at the mall.
Anastaziya [24]

Answer: A car dealership conducted a survey to learn the preferences of their customers. The survey data is shown in the table. Given that a survey participant is female, which is the probability that she prefers a sports utility vehicle (SUV)?

Step-by-step explanation: hope this helped :)

4 0
3 years ago
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Write (75d)1/2 in radical form
Kitty [74]
(75d)^{ \frac{1}{2} }= \sqrt{75d}=5 \sqrt{3d}
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Bin $A$ has one white ball and four black balls. Bin $B$ has three balls labeled $\$1$ and one ball labeled $\$7$. Bin $W$ has f
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Answer:

$20

Step-by-step explanation:

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black ball: 80%              $7: 25%               $500: 1/6

first we can calculate the expected return of bins B and W:

expected return if the ball is black = ($1 x 75%) + ($7 x 25%) = $2.50

expected return if the ball is white = ($8 x 5/6) + ($500 x 1/6) = $90

expected return of the game = (expected return of a black ball x probability of choosing a black ball) + (expected return of a white ball x probability of choosing a white ball) =($2.50 x 80%) + ($90 x 20%) = $2 + $18 = $20

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